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Finding the Fourth Proportional to 3,478.45, 4,806.33 and 2,738.29

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Solution

The fourth proportional to 3,478.45, 4,806.33 and 2,738.29 is: 3,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.45 : 4,806.33 = 2,738.29 : x
  2. Step 2: Convert to fraction form
    3,478.45/4,806.33 = 2,738.29/x
  3. Step 3: Cross multiply
    3,478.45x = 4,806.33 × 2,738.29
  4. Step 4: Simplify right side
    3,478.45x = 13,161,113.36
  5. Step 5: Solve for x
    x = 13,161,113.36/3,478.45
  6. Step 6: Final answer
    x = 3,783.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.